Solve for x
5x+7 = 2x+16
x=3
Graph the inequality on a number line. 2x-4<5
How many solutions does the following equation have?
3x+5 = 2x+11
One Solution
Give an example of the commutative property
Answers will vary, must be similar to:
A+B = B+A
OR
A*B = B*A
What is the definition of like terms?
Terms with the same variales and exponents
Solve for y.
3y -5y -(2y -6) = 8y -2(9y -6)
y=1
What is the solution to the inequality:
5x+5 > 30
x>5
How many solutions does the following equation have?
5(x+2)-3 = 5x+7
Infinite Solutions
Give an example of a problem using the distributive property.
Answers will vary.
A(B+C) = (A*B) + (A*C)
Distribute and combine like terms:
4(3k - 12) - (6k +5) - 10y
6k -53 -10y
Solve for x. You may use a calculator.
0.5(3x-18) +2.5x -4 = 0.5x -6
x=2
When do you use closed circles?
When do you use open circles?
Closed: Greater/less than or equal to
Open: Greater than or less than
Which of these equations has a solution of x=3?
A. 2(x+5)=16−10
B. 4x−7=2x+6
C. 3x+9=−(x−3)+7x
D. 9x=27
D. 9x=27
Write the definition of "Associative Property".
Changing the grouping of multiplication or addition problems does not change the answer.
Fill in the blank: The ___________ is the co-worker to the variable.
Coefficient
Solve for x. You can use a calculator.
0.6(2x+5)-1 = 0.4x + 4
x=2.5
What are the constants in this inequality?
14k - 7 < 3k - 21
-7 and -21
How many solutions does the following equation have?
4(x-1)+2 = 5x+5-x
No solutions
What property is this?
4*8x = 8x*4
Commutative Property
What has a head and a tail, but no body?
A coin
Liam wants to buy a video game that costs $180. He already has $60 and earns $20 per week from doing chores.
1. Write and equation to represent how many weeks, w, Liam will need to save enough money to buy the game.
2. Solve for w.
1. 60 + 20w = 180
2. 6 weeks
What is the solution to this inequality?
-x < -x +7(x-2)
x>2
The following equation has no solution. Explain why.
-(3x-1) = -3x - 1
When you add 3x to each side you are left with 1 = -1.
What property is this?
8(x + 2) = 8x + 16
Distributive Property
What is the difference between an expression and an equation?
Equations have = signs, expressions don't